%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 06:30:39 EDT 2022 % Result : Theorem 0.60s 0.79s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 11:19:49 EDT 2022 % 0.13/0.33 % CPUTime : % 0.60/0.79 % SZS status Theorem % 0.60/0.79 (* PROOF-FOUND *) % 0.60/0.79 (* BEGIN-PROOF *) % 0.60/0.79 % SZS output start Proof % 0.60/0.79 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom % 0.60/0.79 2. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.60/0.79 3. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.60/0.79 4. (apart_point_and_line (intersection_point T_1 T_2) T_1) (-. (apart_point_and_line (intersection_point T_1 T_2) T_1)) ### Axiom % 0.60/0.79 5. ((convergent_lines T_1 T_2) => (-. (apart_point_and_line (intersection_point T_1 T_2) T_1))) (apart_point_and_line (intersection_point T_1 T_2) T_1) (convergent_lines T_1 T_2) ### Imply 3 4 % 0.60/0.79 6. (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 5 % 0.60/0.79 7. ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_1))) (convergent_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 1 2 6 % 0.60/0.79 8. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) ### All 7 % 0.60/0.79 9. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (convergent_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### All 8 % 0.60/0.79 10. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (convergent_lines T_1 T_2) ### All 9 % 0.60/0.79 11. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### All 10 % 0.60/0.79 12. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom % 0.60/0.79 13. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.60/0.79 14. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.60/0.79 15. (apart_point_and_line (intersection_point T_1 T_2) T_2) (convergent_lines T_1 T_2) ### Extension/test/ci4ctrp 14 % 0.60/0.79 16. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### DisjTree 12 13 15 % 0.60/0.79 17. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) ### All 16 % 0.60/0.79 18. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (convergent_lines T_1 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### All 17 % 0.60/0.79 19. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) ### All 18 % 0.60/0.79 20. ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (convergent_lines T_1 T_2) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### Or 11 19 % 0.60/0.79 21. (-. (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 T_2) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)))) => (distinct_points T_0 (intersection_point T_1 T_2)))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### ConjTree 20 % 0.60/0.79 22. (-. (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 V) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point T_1 V))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 21 % 0.60/0.79 23. (-. (All U, (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 22 % 0.60/0.79 24. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 23 % 0.60/0.79 25. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line X V)))) => (distinct_points X (intersection_point U V)))))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### NotAllEx 24 % 0.60/0.79 % SZS output end Proof % 0.60/0.79 (* END-PROOF *) %------------------------------------------------------------------------------